I am a Realtor and actually live right behind the football field so I know that area very well. I can be of help if you still need.
Keep in mind you don't want to start searching too far ahead because the rentals are being leased very very quickly (within 2 weeks) so at most I would say a month or 45 days before you are looking to move in. If you look now and want to move in August, todays properties will be long gone. Just a little tip to keep in mind.
You can e-mail me at: TopFLRealtor@gmail.com when your ready.
Wish you the best, Avalon Park is a great area!!